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Finding the Third Proportional to 3,815.44 and 5,733.28

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Solution

The third proportional to 3,815.44 and 5,733.28 is: 8,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.44 : 5,733.28 = 5,733.28 : x
  2. Step 2: Convert to fraction form
    3,815.44/5,733.28 = 5,733.28/x
  3. Step 3: Cross multiply
    3,815.44x = 5,733.28 × 5,733.28
  4. Step 4: Simplify right side
    3,815.44x = 32,870,513.89
  5. Step 5: Solve for x
    x = 32,870,513.89/3,815.44
  6. Step 6: Final answer
    x = 8,615.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.